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Finding the Fourth Proportional to 148,288,055.40, 222,432,083.10 and 148,288,055.40

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Solution

The fourth proportional to 148,288,055.40, 222,432,083.10 and 148,288,055.40 is: 222,432,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,288,055.40 : 222,432,083.10 = 148,288,055.40 : x
  2. Step 2: Convert to fraction form
    148,288,055.40/222,432,083.10 = 148,288,055.40/x
  3. Step 3: Cross multiply
    148,288,055.40x = 222,432,083.10 × 148,288,055.40
  4. Step 4: Simplify right side
    148,288,055.40x = 32,984,021,061,470,204
  5. Step 5: Solve for x
    x = 32,984,021,061,470,204/148,288,055.40
  6. Step 6: Final answer
    x = 222,432,083.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.